freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-173-using-up-to-one-million-tiles-how-many-different-hollow-square-laminae-can-be-formed.english.md

id, challengeType, title

id	challengeType	title
5900f41a1000cf542c50ff2c	5	Problem 173: Using up to one million tiles how many different "hollow" square laminae can be formed?

Description

We shall define a square lamina to be a square outline with a square "hole" so that the shape possesses vertical and horizontal symmetry. For example, using exactly thirty-two square tiles we can form two different square laminae:

With one-hundred tiles, and not necessarily using all of the tiles at one time, it is possible to form forty-one different square laminae. Using up to one million tiles how many different square laminae can be formed?

Instructions

Tests

tests:
  - text: <code>euler173()</code> should return 1572729.
    testString: assert.strictEqual(euler173(), 1572729, '<code>euler173()</code> should return 1572729.');

Challenge Seed

function euler173() {
  // Good luck!
  return true;
}

euler173();

Solution

// solution required